Question

How do you graph `y=log (x-4)`?

Answer 1

Graph shows the vertical asymptote at x nearing 4.

Explanation:

X must be more than 4 otherwise log(x-4) will be invalid;
Let us make a table of x & y
`x rarr rarr log(x-4)`
------- ----------------
`5 rarr rarr 0`
`9 rarr rarr .7`
`14 rarr rarr 1`
`19 rarr rarr 1.18`
`24 rarr rarr 1.30`
Now we can plot the Graph with the value of x and y.On this Graph Vertical asymptote is at x nearing the value 4.
graph{log(x-4) [-20, 20, -10, 10]}